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Multisided patches
dc.contributor.author | Pla García, Núria |
dc.contributor.author | Vigo Anglada, Marc |
dc.contributor.author | Cotrina Navau, Josep |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament d'Enginyeria Telemàtica |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Ciències de la Computació |
dc.date.accessioned | 2016-12-09T10:50:42Z |
dc.date.available | 2016-12-09T10:50:42Z |
dc.date.issued | 2004-06 |
dc.identifier.citation | Pla, N., Vigo, M., Cotrina, J. "Multisided patches". 2004. |
dc.identifier.uri | http://hdl.handle.net/2117/97925 |
dc.description.abstract | We present a method to construct a patch of parametric surface of degree k + 1 that lls a n-sided hole, with n bigger than 2, and whose boundary coincides with a B-Spline, thus, the resulting patch can be easily connected with given B-Spline surfaces with xed continuity conditions. The method is inspired on a generic approach to construct free form surfaces, which gives a family of practical schemes to design surfaces from an arbitrary given mesh, using the di erentiable manifold theory. The input is a star shaped mesh which describes a generic n-hole and a surface in a neighborhood of the hole. The main advantages of the method are the following: arbitrary order k continuity conditions can be imposed; the involved hole can have an arbitrary number of sides and arbitrary shape (convex or not); the simplicity of the construction process gives an easy and exible method; and nally, the surface near the boundary is a B-Spline with piecewise uniform knot sequences and whose control points are vertices of the given mesh; both knot sequences and control points are easily computed. Implementation details to evaluate a surface point are given, showing that the de Boor algorithm can be exploited for efficiency. |
dc.format.extent | 22 p. |
dc.language.iso | eng |
dc.relation.ispartofseries | LSI-04-33-R |
dc.subject | Àrees temàtiques de la UPC::Informàtica::Infografia |
dc.subject.other | Computer aided geometric design |
dc.subject.other | B-Splines |
dc.subject.other | N-Sided |
dc.subject.other | Patches |
dc.subject.other | Continuity |
dc.title | Multisided patches |
dc.type | External research report |
dc.contributor.group | Universitat Politècnica de Catalunya. WNG - Grup de xarxes sense fils |
dc.rights.access | Open Access |
local.identifier.drac | 1891155 |
dc.description.version | Postprint (published version) |
local.citation.author | Pla, N.; Vigo, M.; Cotrina, J. |
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